Faculty of Science

Geometry of Phase Transitions
Provider: Faculty of Science

Activity no.: 5569-25-07-31
	Enrollment deadline: 21/04/2025

Place

Department of Mathematical Sciences

Date and time

28.04.2025, at: 00:00 - 02.05.2025, at: 16:00

Regular seats

ECTS credits

2.50

Contact person

Nina Weisse E-mail address: weisse@math.ku.dk

Enrolment Handling/Course Organiser

Niels Martin Møller E-mail address: nmoller@math.ku.dk

Written language

English

Teaching language

English

Exam form

Course participation

Course workload

Course workload category	Hours
Participation	39.00
Lectures	30.00

Sum	69.00

Enrolment guidelines

There has been much recent progress on approximating minimal surfaces by various ways and using these methods to show results about minimal surfaces themselves. The goal of this course is to give a substantial overview of some of these very recent, important results - and the techniques involved - directly from some of the experts who developed them. We expect/hope that we (and other local participants) will create an accompanying set of notes to record the contents of these lectures in an approachable format which can be useful to experts and students of the field in the future as well. Perhaps we can also arrange for the lectures to be recorded and uploaded on, say, YouTube.

Formal requirements

Recommended Academic Qualifications:

MSc degree with courses in Riemannian geometry (equivalent to e.g. NMAK20006U Riemannian Geometry) and partial differential equations (equivalent to e.g. NMAK16022U Partial Differential Equations), as well some interest in/exposure to minimal surfaces and/or geometric measure theory.

Learning outcome

Knowledge:
- Learn about Allen–Cahn, Ginzburg–Landau approximations to minimal surfaces and recent applications.
- Learn about nonlocal minimal surfaces and their recent applications to the study of minimal surfaces.

Skills:
- Learn about some of the most important technical ingredients that go into the lecturers' works.

Competences:
- To be able to apply the involved techniques in their own work, if the occasion ever arises.

Target group

Fairly advanced PhD students (in exceptional cases, very MSc advanced students) and postdocs in geometric analysis.

Teaching and learning methods

2 hours of lectures by each lecturer per day of the masterclass week, with ample time for the participants to discuss with the lecturers and amongst themselves.

Remarks

Registration: https://www.math.ku.dk/english/calendar/events/geometry-of-phase-transitions/

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